## Araci, Serkan

Compute Distance To:
 Author ID: araci.serkan Published as: Araci, Serkan; Araci, S.; Aracı, Serkan; Araci, Serkan. more...less External Links: ORCID · Wikidata · Google Scholar · ResearchGate · Twitter · dblp
 Documents Indexed: 135 Publications since 2009 1 Contribution as Editor Co-Authors: 96 Co-Authors with 134 Joint Publications 2,849 Co-Co-Authors
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### Serials

 22 Advances in Difference Equations 8 Journal of Inequalities and Applications 8 Proceedings of the Jangjeon Mathematical Society 5 Applied Mathematics and Computation 5 Journal of Number Theory 5 Filomat 5 Honam Mathematical Journal 5 Advanced Studies in Contemporary Mathematics (Kyungshang) 5 Journal of Nonlinear Science and Applications 4 Boletim da Sociedade Paranaense de Matemática. Terceira Série 4 Symmetry 3 Abstract and Applied Analysis 3 Discrete Dynamics in Nature and Society 3 Analysis (München) 3 Advances and Applications in Mathematical Sciences 2 International Journal of Mathematics and Mathematical Sciences 2 Utilitas Mathematica 2 Notes on Number Theory and Discrete Mathematics 2 Iranian Journal of Science and Technology. Transaction A: Science 2 Journal of Function Spaces and Applications 2 TWMS Journal of Pure and Applied Mathematics 2 AIMS Mathematics 1 Mathematical Methods in the Applied Sciences 1 Ukrainian Mathematical Journal 1 Ars Combinatoria 1 Fasciculi Mathematici 1 Kyungpook Mathematical Journal 1 Bulletin of the Korean Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 Indagationes Mathematicae. New Series 1 Algebra Colloquium 1 Journal of the Egyptian Mathematical Society 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 The Ramanujan Journal 1 Taiwanese Journal of Mathematics 1 Mathematica Moravica 1 Journal of Integer Sequences 1 Communications of the Korean Mathematical Society 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 Nonlinear Functional Analysis and Applications 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 International Journal of Contemporary Mathematical Sciences 1 Asian-European Journal of Mathematics 1 Tbilisi Mathematical Journal 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Mathematical Analysis 1 Journal of Applied Mathematics & Informatics 1 Mathematical Sciences 1 Journal of Classical Analysis 1 Konuralp Journal of Mathematics 1 Mathematics 1 Journal of Function Spaces 1 Open Mathematics 1 Cogent Mathematics
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### Fields

 91 Number theory (11-XX) 55 Combinatorics (05-XX) 28 Special functions (33-XX) 12 Ordinary differential equations (34-XX) 11 Approximations and expansions (41-XX) 6 Functional analysis (46-XX) 5 Real functions (26-XX) 5 Operator theory (47-XX) 5 General topology (54-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral equations (45-XX) 3 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 2 Measure and integration (28-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Partial differential equations (35-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

96 Publications have been cited 531 times in 351 Documents Cited by Year
A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials. Zbl 1261.05003
Araci, Serkan; Acikgoz, Mehmet
2012
Novel identities involving Genocchi numbers and polynomials arising from applications of umbral calculus. Zbl 1334.05013
Araci, Serkan
2014
A certain $$(p,q)$$-derivative operator and associated divided differences. Zbl 1393.05059
Araci, Serkan; Duran, Uğur; Acikgoz, Mehmet; Srivastava, Hari M.
2016
Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials. Zbl 1410.11016
He, Yuan; Araci, Serkan; Srivastava, H. M.; Acikgoz, Mehmet
2015
A study on the fermionic $$p$$-adic $$q$$-integral representation on $$\mathbb Z_p$$ associated with weighted $$q$$-Bernstein and $$q$$-Genocchi polynomials. Zbl 1269.11020
Araci, Serkan; Erdal, Dilek; Seo, Jong Jin
2011
Novel identities for $$q$$-Genocchi numbers and polynomials. Zbl 1254.11022
Araci, Serkan
2012
On the extended kim’s $$p$$-adic $$q$$-deformed fermionic integrals in the $$p$$-adic integer ring. Zbl 1295.11022
Araci, Serkan; Acikgoz, Mehmet; Şen, Erdoğan
2013
On a $$q$$-analog of some numbers and polynomials. Zbl 1308.05020
Araci, Serkan; Ağyüz, Erkan; Acikgoz, Mehmet
2015
A new approach to $$q$$-Bernoulli numbers and $$q$$-Bernoulli polynomials related to $$q$$-Bernstein polynomials. Zbl 1229.11034
Açıkgöz, Mehmet; Erdal, Dilek; Aracı, Serkan
2010
Generating functions of binary products of $$k$$-Fibonacci and orthogonal polynomials. Zbl 1432.05009
Boussayoud, Ali; Boughaba, Souhila; Kerada, Mohamed; Araci, Serkan; Acikgoz, Mehmet
2019
On the von Staudt-Clausen’s theorem associated with $$q$$-Genocchi numbers. Zbl 1338.11022
Araci, Serkan; Acikgoz, Mehmet; Şen, Erdoğan
2014
Extended $$p$$-adic $$q$$-invariant integrals on $$\mathbb{Z}_p$$ associated with applications of umbral calculus. Zbl 1380.05003
Araci, Serkan; Acikgoz, Mehmet; Kilicman, Adem
2013
Sums of products of Apostol-Bernoulli and Apostol-Euler polynomials. Zbl 1343.11030
He, Yuan; Araci, Serkan
2014
Theorems on Genocchi polynomials of higher order arising from Genocchi basis. Zbl 1357.11030
Araci, Serkan; Şen, Erdoğan; Acikgoz, Mehmet
2014
Some fractional operators with the generalized Bessel-Maitland function. Zbl 1459.33006
Ali, R. S.; Mubeen, S.; Nayab, I.; Araci, Serkan; Rahman, G.; Nisar, K. S.
2020
On higher order $$(p,q)$$-Frobenius-Euler polynomials. Zbl 1388.05022
Duran, U.; Acikgoz, M.; Araci, S.
2017
Extended $$q$$-Dedekind-type Daehee-Changhee sums associated with extended $$q$$-Euler polynomials. Zbl 1343.11090
Araci, Serkan; Özer, Özen
2015
New construction of weighted $$(h, q)$$-Genocchi numbers and polynomials related to zeta type functions. Zbl 1284.11035
Araci, Serkan; Seo, Jong Jin; Erdal, Dilek
2011
Some new formulas for the products of the Apostol type polynomials. Zbl 1419.11040
He, Yuan; Araci, Serkan; Srivastava, H. M.
2016
$$(\rho,q)$$-Volkenborn integration. Zbl 1350.11104
Araci, Serkan; Duran, Ugur; Acikgoz, Mehmet
2017
A note on the values of weighted $$q$$-Bernstein polynomials and weighted $$q$$-Genocchi numbers. Zbl 1364.11048
Araci, Serkan; Açikgöz, Mehmet
2015
A note on the truncated-exponential based Apostol-type polynomials. Zbl 1425.11044
Srivastava, H. M.; Araci, Serkan; Khan, Waseem A.; Acikgöz, Mehmet
2019
On the von Staudt-Clausen’s theorem related to $$q$$-Frobenius-Euler numbers. Zbl 1334.11012
Araci, Serkan; Acikgoz, Mehmet
2016
Some new symmetric identities involving $$q$$-Genocchi polynomials under $$S_4$$. Zbl 1362.33029
Duran, Ugur; Acikgoz, Mehmet; Esi, Ayhan; Araci, Serkan
2015
A new class of partially degenerate Hermite-Genocchi polynomials. Zbl 1412.11031
Khan, Waseem A.; Araci, Serkan; Acikgoz, Mehmet; Haroon, Hiba
2017
Some new properties on the $$q$$-Genocchi numbers and polynomials associated with $$q$$-Bernstein polyomials. Zbl 1239.41009
Araci, Serkan; Erdal, Dilek; Kang, Dong-Jin
2011
Certain results of $$\mathfrak{q}$$-Sheffer-Appell polynomials. Zbl 1416.05045
Yasmin, Ghazala; Muhyi, Abdulghani; Araci, Serkan
2019
On weighted $$q$$-Daehee polynomials with their applications. Zbl 1443.11024
Araci, Serkan; Duran, Ugur; Acikgoz, Mehmet
2019
Explicit formulas involving $$q$$-Euler numbers and polynomials. Zbl 1257.11019
Araci, Serkan; Acikgoz, Mehmet; Seo, Jong Jin
2012
Approximation of Durrmeyer type operators depending on certain parameters. Zbl 1470.41012
Malik, Neha; Araci, Serkan; Beniwal, Man Singh
2017
Some new formulae for Genocchi numbers and polynomials involving Bernoulli and Euler polynomials. Zbl 1322.11020
Araci, Serkan; Acikgoz, Mehmet; Şen, Erdoğan
2014
A new family of $$q$$-analogue of Genocchi numbers and polynomials of higher order. Zbl 1296.11018
Araci, Serkan; Acikgoz, Mehmet; Seo, Jong Jin
2014
Symmetric identities involving weighted $$q$$-Genocchi polynomials under $$S_4$$. Zbl 1360.11039
Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan
2015
Construction of Fourier expansion of Apostol Frobenius-Euler polynomials and its applications. Zbl 1445.11015
Araci, Serkan; Acikgoz, Mehmet
2018
Certain fractional calculus formulas involving extended generalized Mathieu series. Zbl 1446.26006
Singh, Gurmej; Agarwal, Praveen; Araci, Serkan; Acikgoz, Mehmet
2018
A note on $$q$$-Fubini polynomials. Zbl 1438.11067
Duran, Ugur; Araci, Serkan; Acikgoz, Mehmet
2019
On the unification of two families of multiple twisted type polynomials by using $$p$$-adic $$q$$-integral at $$q=-1$$. Zbl 1293.05005
Araci, Serkan; Acikgoz, Mehmet; Park, Kyoung-Ho; Jolany, Hassan
2014
A general class of the three-variable unified Apostol-type $$q$$-polynomials and multiple power $$q$$-sums. Zbl 1432.11026
Srivastava, Hari Mohan; Khan, Subuhi; Araci, Serkan; Acikgoz, Mehmet; Riyasat, Mumtaz
2020
Symmetric functions of binary products of Fibonacci and orthogonal polynomials. Zbl 07535070
Boussayoud, Ali; Kerada, Mohamed; Araci, Serkan; Acikgoz, Mehmet; Esi, Ayhan
2019
A note on the weighted twisted Dirichlet’s type $$q$$-Euler numbers and polynomials. Zbl 1234.11026
Seo, Jong Jin; Araci, Serkan; Aslan, Nurgül
2011
Hermite based poly-Bernoulli polynomials with a $$q$$-parameter. Zbl 1423.11050
Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan
2018
A note on the $$(h,q)$$-zeta-type function with weight $${\alpha}$$. Zbl 1294.11015
Cetin, Elif; Acikgoz, Mehmet; Cangul, Ismail Naci; Araci, Serkan
2013
A new approach to multivariate $$q$$-Euler polynomials using the umbral calculus. Zbl 1284.11039
Araci, Serkan; Kong, Xiangxing; Acikgoz, Mehmet; Şen, Erdoğan
2014
Analogues of Newton-Girard power-sum formulas for entire and meromorphic functions with applications to the Riemann zeta function. Zbl 1304.30038
Bagdasaryan, Armen; Araci, Serkan; Açikgöz, Mehmet; Srivastava, H. M.
2015
Spectral problem for the Sturm-Liouville operator with retarded argument containing a spectral parameter in the boundary condition. Zbl 1490.34073
Şen, E.; Acikgoz, M.; Araci, S.
2017
A symmetry identity on the $$g$$-Genocchi polynomials of higher-order under third dihedral group $$D_3$$. Zbl 1321.11021
Ağyüz, Erkan; Acikgoz, Mehmet; Araci, Serkan
2015
Identities involving $$q$$-Genocchi numbers and polynomials. Zbl 1331.05011
Araci, Serkan; Acikgoz, Mehmet; Jolany, Hassan; He, Yuan
2014
New type of degenerate Daehee polynomials of the second kind. Zbl 1485.11049
Kumar Sharma, Sunil; Khan, Waseem A.; Araci, Serkan; Ahmed, Sameh S.
2020
A new extension of Srivastava’s triple hypergeometric functions and their associated properties. Zbl 1476.33002
Saboor, Abdus; Rahman, Gauhar; Anjum, Zunaira; Nisar, Kottakkaran Sooppy; Araci, Serkan
2021
Laguerre-based Hermite-Bernoulli polynomials associated with bilateral series. Zbl 1431.33012
Khan, Waseem Ahmad; Araci, Serkan; Acikgoz, Mehmet; Esi, Ayhan
2018
A note on the modified $$q$$-Bernstein polynomials for functions of several variables and their reflections on $$q$$-Volkenborn integration. Zbl 1229.11150
Açıkgöz, Mehmet; Aracı, Serkan; Cangül, İsmail Naci
2011
A unified generating function of the $$q$$-Genocchi polynomials with their interpolation functions. Zbl 1284.11033
Araci, Serkan; Açikgöz, Mehmet; Jolany, Hassan; Seo, Jong Jin
2012
Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis. Zbl 1338.11025
Bagdasaryan, Armen; Araci, Serkan; Acikgoz, Mehmet; He, Yuan
2016
Higher-order convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. Zbl 1425.11036
He, Yuan; Araci, Serkan; Srivastava, Hari M.; Abdel-Aty, Mahmoud
2018
A new class of Hermite-Apostol type Frobenius-Euler polynomials and its applications. Zbl 1423.11045
Araci, Serkan; Riyasat, Mumtaz; Wani, Shahid Ahmad; Khan, Subuhi
2018
Symmetric identities of Hermite-Bernoulli polynomials and Hermite-Bernoulli numbers attached to a Dirichlet character $$\chi$$. Zbl 1428.33019
Araci, Serkan; Khan, Waseem Ahmad; Nisar, Kottakkaran Sooppy
2018
Some $$(p, q)$$-analogues of Apostol type numbers and polynomials. Zbl 1479.11045
Acikgoz, Mehmet; Araci, Serkan; Duran, Ugur
2019
A new approach to Legendre-truncated-exponential-based Sheffer sequences via Riordan arrays$$^\star$$. Zbl 1433.11026
Srivastava, H. M.; Riyasat, Mumtaz; Khan, Subuhi; Araci, Serkan; Acikgoz, Mehmet
2020
Summation formulas for the products of the Frobenius-Euler polynomials. Zbl 1434.11059
He, Yuan; Araci, Serkan; Srivastava, H. M.
2017
Linking of Bernstein-Chlodowsky and Szász-Appell-Kantorovich type operators. Zbl 1412.41010
Agrawal, P. N.; Kumar, Dharmendra; Araci, Serkan
2017
On the $$q$$-Genocchi numbers and polynomials with weight zero and their applications. Zbl 1293.05006
Araci, Serkan; Acikgoz, Mehmet; Qi, Feng
2013
A note on the modified $$q$$-Dedekind sums. Zbl 1310.11048
Araci, Serkan; Şen, Erdoğan; Acikgoz, Mehmet
2013
Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the $$p$$-Laplacian operator. Zbl 1346.35207
Araci, Serkan; Şen, Erdoğan; Açikgöz, Mehmet; Srivastava, Hari
2015
A note on the modified $$q$$-Genocchi numbers and polynomials with weight $$(\alpha, \beta)$$. Zbl 1300.11019
Araci, S.; Acikgoz, M.; Qi, F.; Jolany, H.
2013
A new class of Laguerre-based Apostol type polynomials. Zbl 1438.11049
Khan, Waseem A.; Araci, Serkan; Acikgoz, Mehmet
2016
Construction of the type 2 poly-Frobenius-Genocchi polynomials with their certain applications. Zbl 1485.11058
Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan
2020
New construction of type 2 degenerate central Fubini polynomials with their certain properties. Zbl 1486.11030
Sharma, Sunil Kumar; Khan, Waseem A.; Araci, Serkan; Ahmed, Sameh S.
2020
The generalization of Apollonious identity to linear n-normed spaces. Zbl 1206.41020
Açıkgöz, Mehmet; Aslan, Nurgül; Aracı, Serkan
2010
Computation of eigenvalues and fundamental solutions of a fourth-order boundary value problem. Zbl 1266.34137
Şen, Erdoǧan; Araci, Serkan
2012
On $$q$$-Genocchi polynomials with weighted $$\alpha$$ and $$\beta$$ under symmetric group of degree $$n$$. Zbl 1386.11041
Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan
2016
Fixed point theorems for soft weakly compatible mappings in soft $$G$$-metric spaces. Zbl 1394.54025
Kumam, Poom; Kumar, Manoj; Araci, Serkan
2016
On a class of multiple $$q$$-Bernoulli, multiple $$q$$-Euler and multiple $$q$$-Genocchi polynomials of order $$\alpha$$. Zbl 1386.11042
Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan
2016
On an analogue of Euler polynomials and related to extended fermionic $$p$$-adic integrals on $$\mathbb{Z}_{p}$$. Zbl 1391.11039
Qi, Feng; Araci, Serkan; Acikgoz, Mehmet
2017
Research on some new results arising from multiple $$q$$-calculus. Zbl 07433867
Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan
2018
Computation of Nevanlinna characteristic functions derived from generating functions of some special numbers. Zbl 07445844
Araci, Serkan; Acikgoz, Mehmet
2018
A note on the weighted $$q$$-Genocchi numbers and polynomials with their interpolation function. Zbl 1258.11030
Aracı, Serkan; Açikgöz, Mehmet; Seo, Jong Jin
2012
$$p$$-adic approach to linear 2-normed spaces. Zbl 1265.46108
Açikgöz, Mehmet; Aslan, Nurgül; Köškeroğlu, Nurten; Araci, Serkan
2009
Analytic continuation of weighted $$q$$-Genocchi numbers and polynomials. Zbl 1273.05003
Araci, Serkan; Acikgoz, Mehmet; Gürsul, Aynur
2013
An attractive numerical algorithm for solving nonlinear Caputo-Fabrizio fractional Abel differential equation in a Hilbert space. Zbl 1494.65055
2021
Theorems on $$q$$-Frobenius-Euler polynomials under Sym $$(4)$$. Zbl 1361.11077
Araci, Serkan; Duran, Ugur; Acikgoz, Mehmet; Abdel-Aty, M.
2016
Solution of fractional kinetic equations associated with the $$(p, q)$$-Mathieu-type series. Zbl 1459.34045
Suthar, D. L.; Purohit, S. D.; Araci, Serkan
2020
Asymptotic properties of a new Sturm-Liouville problem with retarded argument. Zbl 1321.34088
Şen, Erdoğan; Araci, Serkan; Acikgoz, Mehmet
2014
A note on $$q$$-Fubini-Appell polynomials and related properties. Zbl 1485.33018
Muhyi, Abdulghani; Araci, Serkan
2021
Recent trends in special numbers and special functions and polynomials. Zbl 1475.00024
2015
A study on a class of $$q$$-Euler polynomials under the symmetric group of degree $$n$$. Zbl 1348.11017
Araci, Serkan.; Duran, Ugur; Acikgoz, Mehmet
2016
Dunkl analogue of Szász-Mirakjan operators of blending type. Zbl 1409.41012
Deshwal, Sheetal; Agrawal, P. N.; Araci, Serkan
2018
Existence and uniqueness of positive solutions of boundary-value problems for fractional differential equations with $$p$$-Laplacian operator and identities on the some special polynomials. Zbl 1294.34009
Şen, Erdoğan; Acikgoz, Mehmet; Seo, Jong Jin; Araci, Serkan; Oruçoğlu, Kamil
2013
On the families of $$q$$-Euler polynomials and their applications. Zbl 1311.05010
Araci, Serkan; Acikgoz, Mehmet; Jolany, Hassan
2015
On $$p$$-adic interpolating function associated with modified Dirichlet’s type of twisted $$q$$-Euler numbers and polynomials with weight $$\alpha$$. Zbl 1415.11039
Araci, Serkan; Acikgoz, Mehmet; Jolany, Hassan
2013
A note on the $$q$$-analogue of Kim’s $$p$$-adic $$\log$$ gamma type functions associated with $$q$$-extension of Genocchi and Euler numbers with weight $$\alpha$$. Zbl 1321.11118
Araci, Serkan; Acikgoz, Mehmet; Park, Kyoung Ho
2013
A class of generating functions for a new generalization of Eulerian polynomials with their interpolation functions. Zbl 1459.11058
Araci, Serkan; Şen, Erdoğan; Acikgoz, Mehmet
2016
Weakly compatible maps in complex valued metric spaces and an application to solve Urysohn integral equation. Zbl 1461.54092
Kumar, Manoj; Kumar, Pankaj; Kumar, Sanjay; Araci, Serkan
2016
Common fixed point theorems for generalized $$G$$-$$\eta$$-$$\chi$$-contractive type mappings with applications. Zbl 1413.54133
Kumar, Manoj; Araci, Serkan
2019
A note on the generalized $$q$$-Genocchi measures with weight $$\alpha$$. Zbl 1413.11125
Jolany, Hassan; Araci, Serkan; Acikgoz, Mehmet; Seo, Jong-Jin
2013
Construction of a new family of Fubini-type polynomials and its applications. Zbl 1485.11050
Srivastava, H. M.; Srivastava, Rekha; Muhyi, Abdulghani; Yasmin, Ghazala; Islahi, Hibah; Araci, Serkan
2021
Construction of partially degenerate Laguerre-Genocchi polynomials with their applications. Zbl 1484.05014
Usman, Talha; Aman, Mohd; Khan, Owais; Nisar, Kottakkaran Sooppy; Araci, Serkan
2020
A new extension of Srivastava’s triple hypergeometric functions and their associated properties. Zbl 1476.33002
Saboor, Abdus; Rahman, Gauhar; Anjum, Zunaira; Nisar, Kottakkaran Sooppy; Araci, Serkan
2021
An attractive numerical algorithm for solving nonlinear Caputo-Fabrizio fractional Abel differential equation in a Hilbert space. Zbl 1494.65055
2021
A note on $$q$$-Fubini-Appell polynomials and related properties. Zbl 1485.33018
Muhyi, Abdulghani; Araci, Serkan
2021
Construction of a new family of Fubini-type polynomials and its applications. Zbl 1485.11050
Srivastava, H. M.; Srivastava, Rekha; Muhyi, Abdulghani; Yasmin, Ghazala; Islahi, Hibah; Araci, Serkan
2021
Some fractional operators with the generalized Bessel-Maitland function. Zbl 1459.33006
Ali, R. S.; Mubeen, S.; Nayab, I.; Araci, Serkan; Rahman, G.; Nisar, K. S.
2020
A general class of the three-variable unified Apostol-type $$q$$-polynomials and multiple power $$q$$-sums. Zbl 1432.11026
Srivastava, Hari Mohan; Khan, Subuhi; Araci, Serkan; Acikgoz, Mehmet; Riyasat, Mumtaz
2020
New type of degenerate Daehee polynomials of the second kind. Zbl 1485.11049
Kumar Sharma, Sunil; Khan, Waseem A.; Araci, Serkan; Ahmed, Sameh S.
2020
A new approach to Legendre-truncated-exponential-based Sheffer sequences via Riordan arrays$$^\star$$. Zbl 1433.11026
Srivastava, H. M.; Riyasat, Mumtaz; Khan, Subuhi; Araci, Serkan; Acikgoz, Mehmet
2020
Construction of the type 2 poly-Frobenius-Genocchi polynomials with their certain applications. Zbl 1485.11058
Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan
2020
New construction of type 2 degenerate central Fubini polynomials with their certain properties. Zbl 1486.11030
Sharma, Sunil Kumar; Khan, Waseem A.; Araci, Serkan; Ahmed, Sameh S.
2020
Solution of fractional kinetic equations associated with the $$(p, q)$$-Mathieu-type series. Zbl 1459.34045
Suthar, D. L.; Purohit, S. D.; Araci, Serkan
2020
Construction of partially degenerate Laguerre-Genocchi polynomials with their applications. Zbl 1484.05014
Usman, Talha; Aman, Mohd; Khan, Owais; Nisar, Kottakkaran Sooppy; Araci, Serkan
2020
Generating functions of binary products of $$k$$-Fibonacci and orthogonal polynomials. Zbl 1432.05009
Boussayoud, Ali; Boughaba, Souhila; Kerada, Mohamed; Araci, Serkan; Acikgoz, Mehmet
2019
A note on the truncated-exponential based Apostol-type polynomials. Zbl 1425.11044
Srivastava, H. M.; Araci, Serkan; Khan, Waseem A.; Acikgöz, Mehmet
2019
Certain results of $$\mathfrak{q}$$-Sheffer-Appell polynomials. Zbl 1416.05045
Yasmin, Ghazala; Muhyi, Abdulghani; Araci, Serkan
2019
On weighted $$q$$-Daehee polynomials with their applications. Zbl 1443.11024
Araci, Serkan; Duran, Ugur; Acikgoz, Mehmet
2019
A note on $$q$$-Fubini polynomials. Zbl 1438.11067
Duran, Ugur; Araci, Serkan; Acikgoz, Mehmet
2019
Symmetric functions of binary products of Fibonacci and orthogonal polynomials. Zbl 07535070
Boussayoud, Ali; Kerada, Mohamed; Araci, Serkan; Acikgoz, Mehmet; Esi, Ayhan
2019
Some $$(p, q)$$-analogues of Apostol type numbers and polynomials. Zbl 1479.11045
Acikgoz, Mehmet; Araci, Serkan; Duran, Ugur
2019
Common fixed point theorems for generalized $$G$$-$$\eta$$-$$\chi$$-contractive type mappings with applications. Zbl 1413.54133
Kumar, Manoj; Araci, Serkan
2019
Construction of Fourier expansion of Apostol Frobenius-Euler polynomials and its applications. Zbl 1445.11015
Araci, Serkan; Acikgoz, Mehmet
2018
Certain fractional calculus formulas involving extended generalized Mathieu series. Zbl 1446.26006
Singh, Gurmej; Agarwal, Praveen; Araci, Serkan; Acikgoz, Mehmet
2018
Hermite based poly-Bernoulli polynomials with a $$q$$-parameter. Zbl 1423.11050
Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan
2018
Laguerre-based Hermite-Bernoulli polynomials associated with bilateral series. Zbl 1431.33012
Khan, Waseem Ahmad; Araci, Serkan; Acikgoz, Mehmet; Esi, Ayhan
2018
Higher-order convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. Zbl 1425.11036
He, Yuan; Araci, Serkan; Srivastava, Hari M.; Abdel-Aty, Mahmoud
2018
A new class of Hermite-Apostol type Frobenius-Euler polynomials and its applications. Zbl 1423.11045
Araci, Serkan; Riyasat, Mumtaz; Wani, Shahid Ahmad; Khan, Subuhi
2018
Symmetric identities of Hermite-Bernoulli polynomials and Hermite-Bernoulli numbers attached to a Dirichlet character $$\chi$$. Zbl 1428.33019
Araci, Serkan; Khan, Waseem Ahmad; Nisar, Kottakkaran Sooppy
2018
Research on some new results arising from multiple $$q$$-calculus. Zbl 07433867
Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan
2018
Computation of Nevanlinna characteristic functions derived from generating functions of some special numbers. Zbl 07445844
Araci, Serkan; Acikgoz, Mehmet
2018
Dunkl analogue of Szász-Mirakjan operators of blending type. Zbl 1409.41012
Deshwal, Sheetal; Agrawal, P. N.; Araci, Serkan
2018
On higher order $$(p,q)$$-Frobenius-Euler polynomials. Zbl 1388.05022
Duran, U.; Acikgoz, M.; Araci, S.
2017
$$(\rho,q)$$-Volkenborn integration. Zbl 1350.11104
Araci, Serkan; Duran, Ugur; Acikgoz, Mehmet
2017
A new class of partially degenerate Hermite-Genocchi polynomials. Zbl 1412.11031
Khan, Waseem A.; Araci, Serkan; Acikgoz, Mehmet; Haroon, Hiba
2017
Approximation of Durrmeyer type operators depending on certain parameters. Zbl 1470.41012
Malik, Neha; Araci, Serkan; Beniwal, Man Singh
2017
Spectral problem for the Sturm-Liouville operator with retarded argument containing a spectral parameter in the boundary condition. Zbl 1490.34073
Şen, E.; Acikgoz, M.; Araci, S.
2017
Summation formulas for the products of the Frobenius-Euler polynomials. Zbl 1434.11059
He, Yuan; Araci, Serkan; Srivastava, H. M.
2017
Linking of Bernstein-Chlodowsky and Szász-Appell-Kantorovich type operators. Zbl 1412.41010
Agrawal, P. N.; Kumar, Dharmendra; Araci, Serkan
2017
On an analogue of Euler polynomials and related to extended fermionic $$p$$-adic integrals on $$\mathbb{Z}_{p}$$. Zbl 1391.11039
Qi, Feng; Araci, Serkan; Acikgoz, Mehmet
2017
A certain $$(p,q)$$-derivative operator and associated divided differences. Zbl 1393.05059
Araci, Serkan; Duran, Uğur; Acikgoz, Mehmet; Srivastava, Hari M.
2016
Some new formulas for the products of the Apostol type polynomials. Zbl 1419.11040
He, Yuan; Araci, Serkan; Srivastava, H. M.
2016
On the von Staudt-Clausen’s theorem related to $$q$$-Frobenius-Euler numbers. Zbl 1334.11012
Araci, Serkan; Acikgoz, Mehmet
2016
Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis. Zbl 1338.11025
Bagdasaryan, Armen; Araci, Serkan; Acikgoz, Mehmet; He, Yuan
2016
A new class of Laguerre-based Apostol type polynomials. Zbl 1438.11049
Khan, Waseem A.; Araci, Serkan; Acikgoz, Mehmet
2016
On $$q$$-Genocchi polynomials with weighted $$\alpha$$ and $$\beta$$ under symmetric group of degree $$n$$. Zbl 1386.11041
Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan
2016
Fixed point theorems for soft weakly compatible mappings in soft $$G$$-metric spaces. Zbl 1394.54025
Kumam, Poom; Kumar, Manoj; Araci, Serkan
2016
On a class of multiple $$q$$-Bernoulli, multiple $$q$$-Euler and multiple $$q$$-Genocchi polynomials of order $$\alpha$$. Zbl 1386.11042
Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan
2016
Theorems on $$q$$-Frobenius-Euler polynomials under Sym $$(4)$$. Zbl 1361.11077
Araci, Serkan; Duran, Ugur; Acikgoz, Mehmet; Abdel-Aty, M.
2016
A study on a class of $$q$$-Euler polynomials under the symmetric group of degree $$n$$. Zbl 1348.11017
Araci, Serkan.; Duran, Ugur; Acikgoz, Mehmet
2016
A class of generating functions for a new generalization of Eulerian polynomials with their interpolation functions. Zbl 1459.11058
Araci, Serkan; Şen, Erdoğan; Acikgoz, Mehmet
2016
Weakly compatible maps in complex valued metric spaces and an application to solve Urysohn integral equation. Zbl 1461.54092
Kumar, Manoj; Kumar, Pankaj; Kumar, Sanjay; Araci, Serkan
2016
Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials. Zbl 1410.11016
He, Yuan; Araci, Serkan; Srivastava, H. M.; Acikgoz, Mehmet
2015
On a $$q$$-analog of some numbers and polynomials. Zbl 1308.05020
Araci, Serkan; Ağyüz, Erkan; Acikgoz, Mehmet
2015
Extended $$q$$-Dedekind-type Daehee-Changhee sums associated with extended $$q$$-Euler polynomials. Zbl 1343.11090
Araci, Serkan; Özer, Özen
2015
A note on the values of weighted $$q$$-Bernstein polynomials and weighted $$q$$-Genocchi numbers. Zbl 1364.11048
Araci, Serkan; Açikgöz, Mehmet
2015
Some new symmetric identities involving $$q$$-Genocchi polynomials under $$S_4$$. Zbl 1362.33029
Duran, Ugur; Acikgoz, Mehmet; Esi, Ayhan; Araci, Serkan
2015
Symmetric identities involving weighted $$q$$-Genocchi polynomials under $$S_4$$. Zbl 1360.11039
Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan
2015
Analogues of Newton-Girard power-sum formulas for entire and meromorphic functions with applications to the Riemann zeta function. Zbl 1304.30038
Bagdasaryan, Armen; Araci, Serkan; Açikgöz, Mehmet; Srivastava, H. M.
2015
A symmetry identity on the $$g$$-Genocchi polynomials of higher-order under third dihedral group $$D_3$$. Zbl 1321.11021
Ağyüz, Erkan; Acikgoz, Mehmet; Araci, Serkan
2015
Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the $$p$$-Laplacian operator. Zbl 1346.35207
Araci, Serkan; Şen, Erdoğan; Açikgöz, Mehmet; Srivastava, Hari
2015
Recent trends in special numbers and special functions and polynomials. Zbl 1475.00024
2015
On the families of $$q$$-Euler polynomials and their applications. Zbl 1311.05010
Araci, Serkan; Acikgoz, Mehmet; Jolany, Hassan
2015
Novel identities involving Genocchi numbers and polynomials arising from applications of umbral calculus. Zbl 1334.05013
Araci, Serkan
2014
On the von Staudt-Clausen’s theorem associated with $$q$$-Genocchi numbers. Zbl 1338.11022
Araci, Serkan; Acikgoz, Mehmet; Şen, Erdoğan
2014
Sums of products of Apostol-Bernoulli and Apostol-Euler polynomials. Zbl 1343.11030
He, Yuan; Araci, Serkan
2014
Theorems on Genocchi polynomials of higher order arising from Genocchi basis. Zbl 1357.11030
Araci, Serkan; Şen, Erdoğan; Acikgoz, Mehmet
2014
Some new formulae for Genocchi numbers and polynomials involving Bernoulli and Euler polynomials. Zbl 1322.11020
Araci, Serkan; Acikgoz, Mehmet; Şen, Erdoğan
2014
A new family of $$q$$-analogue of Genocchi numbers and polynomials of higher order. Zbl 1296.11018
Araci, Serkan; Acikgoz, Mehmet; Seo, Jong Jin
2014
On the unification of two families of multiple twisted type polynomials by using $$p$$-adic $$q$$-integral at $$q=-1$$. Zbl 1293.05005
Araci, Serkan; Acikgoz, Mehmet; Park, Kyoung-Ho; Jolany, Hassan
2014
A new approach to multivariate $$q$$-Euler polynomials using the umbral calculus. Zbl 1284.11039
Araci, Serkan; Kong, Xiangxing; Acikgoz, Mehmet; Şen, Erdoğan
2014
Identities involving $$q$$-Genocchi numbers and polynomials. Zbl 1331.05011
Araci, Serkan; Acikgoz, Mehmet; Jolany, Hassan; He, Yuan
2014
Asymptotic properties of a new Sturm-Liouville problem with retarded argument. Zbl 1321.34088
Şen, Erdoğan; Araci, Serkan; Acikgoz, Mehmet
2014
On the extended kim’s $$p$$-adic $$q$$-deformed fermionic integrals in the $$p$$-adic integer ring. Zbl 1295.11022
Araci, Serkan; Acikgoz, Mehmet; Şen, Erdoğan
2013
Extended $$p$$-adic $$q$$-invariant integrals on $$\mathbb{Z}_p$$ associated with applications of umbral calculus. Zbl 1380.05003
Araci, Serkan; Acikgoz, Mehmet; Kilicman, Adem
2013
A note on the $$(h,q)$$-zeta-type function with weight $${\alpha}$$. Zbl 1294.11015
Cetin, Elif; Acikgoz, Mehmet; Cangul, Ismail Naci; Araci, Serkan
2013
On the $$q$$-Genocchi numbers and polynomials with weight zero and their applications. Zbl 1293.05006
Araci, Serkan; Acikgoz, Mehmet; Qi, Feng
2013
A note on the modified $$q$$-Dedekind sums. Zbl 1310.11048
Araci, Serkan; Şen, Erdoğan; Acikgoz, Mehmet
2013
A note on the modified $$q$$-Genocchi numbers and polynomials with weight $$(\alpha, \beta)$$. Zbl 1300.11019
Araci, S.; Acikgoz, M.; Qi, F.; Jolany, H.
2013
Analytic continuation of weighted $$q$$-Genocchi numbers and polynomials. Zbl 1273.05003
Araci, Serkan; Acikgoz, Mehmet; Gürsul, Aynur
2013
Existence and uniqueness of positive solutions of boundary-value problems for fractional differential equations with $$p$$-Laplacian operator and identities on the some special polynomials. Zbl 1294.34009
Şen, Erdoğan; Acikgoz, Mehmet; Seo, Jong Jin; Araci, Serkan; Oruçoğlu, Kamil
2013
On $$p$$-adic interpolating function associated with modified Dirichlet’s type of twisted $$q$$-Euler numbers and polynomials with weight $$\alpha$$. Zbl 1415.11039
Araci, Serkan; Acikgoz, Mehmet; Jolany, Hassan
2013
A note on the $$q$$-analogue of Kim’s $$p$$-adic $$\log$$ gamma type functions associated with $$q$$-extension of Genocchi and Euler numbers with weight $$\alpha$$. Zbl 1321.11118
Araci, Serkan; Acikgoz, Mehmet; Park, Kyoung Ho
2013
A note on the generalized $$q$$-Genocchi measures with weight $$\alpha$$. Zbl 1413.11125
Jolany, Hassan; Araci, Serkan; Acikgoz, Mehmet; Seo, Jong-Jin
2013
A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials. Zbl 1261.05003
Araci, Serkan; Acikgoz, Mehmet
2012
Novel identities for $$q$$-Genocchi numbers and polynomials. Zbl 1254.11022
Araci, Serkan
2012
Explicit formulas involving $$q$$-Euler numbers and polynomials. Zbl 1257.11019
Araci, Serkan; Acikgoz, Mehmet; Seo, Jong Jin
2012
A unified generating function of the $$q$$-Genocchi polynomials with their interpolation functions. Zbl 1284.11033
Araci, Serkan; Açikgöz, Mehmet; Jolany, Hassan; Seo, Jong Jin
2012
Computation of eigenvalues and fundamental solutions of a fourth-order boundary value problem. Zbl 1266.34137
Şen, Erdoǧan; Araci, Serkan
2012
A note on the weighted $$q$$-Genocchi numbers and polynomials with their interpolation function. Zbl 1258.11030
Aracı, Serkan; Açikgöz, Mehmet; Seo, Jong Jin
2012
A study on the fermionic $$p$$-adic $$q$$-integral representation on $$\mathbb Z_p$$ associated with weighted $$q$$-Bernstein and $$q$$-Genocchi polynomials. Zbl 1269.11020
Araci, Serkan; Erdal, Dilek; Seo, Jong Jin
2011
New construction of weighted $$(h, q)$$-Genocchi numbers and polynomials related to zeta type functions. Zbl 1284.11035
Araci, Serkan; Seo, Jong Jin; Erdal, Dilek
2011
Some new properties on the $$q$$-Genocchi numbers and polynomials associated with $$q$$-Bernstein polyomials. Zbl 1239.41009
Araci, Serkan; Erdal, Dilek; Kang, Dong-Jin
2011
A note on the weighted twisted Dirichlet’s type $$q$$-Euler numbers and polynomials. Zbl 1234.11026
Seo, Jong Jin; Araci, Serkan; Aslan, Nurgül
2011
A note on the modified $$q$$-Bernstein polynomials for functions of several variables and their reflections on $$q$$-Volkenborn integration. Zbl 1229.11150
Açıkgöz, Mehmet; Aracı, Serkan; Cangül, İsmail Naci
2011
A new approach to $$q$$-Bernoulli numbers and $$q$$-Bernoulli polynomials related to $$q$$-Bernstein polynomials. Zbl 1229.11034
Açıkgöz, Mehmet; Erdal, Dilek; Aracı, Serkan
2010
The generalization of Apollonious identity to linear n-normed spaces. Zbl 1206.41020
Açıkgöz, Mehmet; Aslan, Nurgül; Aracı, Serkan
2010
$$p$$-adic approach to linear 2-normed spaces. Zbl 1265.46108
Açikgöz, Mehmet; Aslan, Nurgül; Köškeroğlu, Nurten; Araci, Serkan
2009
all top 5

all top 5

### Cited in 95 Serials

 68 Advances in Difference Equations 20 Journal of Inequalities and Applications 16 Abstract and Applied Analysis 12 Filomat 11 Applied Mathematics and Computation 10 Journal of Function Spaces 10 AIMS Mathematics 9 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 9 Symmetry 8 Discrete Dynamics in Nature and Society 7 Open Mathematics 6 Asian-European Journal of Mathematics 6 Journal of Applied Mathematics & Informatics 5 International Journal of Mathematics and Mathematical Sciences 5 Boletín de la Sociedad Matemática Mexicana. Third Series 4 Ukrainian Mathematical Journal 4 Journal of Number Theory 4 Russian Journal of Mathematical Physics 4 Communications of the Korean Mathematical Society 4 Kragujevac Journal of Mathematics 4 Boundary Value Problems 4 Mathematics 3 Chaos, Solitons and Fractals 3 Demonstratio Mathematica 3 The Ramanujan Journal 3 Iranian Journal of Science and Technology. Transaction A: Science 3 Tbilisi Mathematical Journal 3 Journal of Nonlinear Science and Applications 3 TWMS Journal of Pure and Applied Mathematics 3 Afrika Matematika 3 Axioms 2 Rocky Mountain Journal of Mathematics 2 Results in Mathematics 2 The Journal of Analysis 2 Journal of the Egyptian Mathematical Society 2 Turkish Journal of Mathematics 2 Georgian Mathematical Journal 2 Fractals 2 Integral Transforms and Special Functions 2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 South East Asian Journal of Mathematics and Mathematical Sciences 2 Journal of Function Spaces and Applications 2 Mediterranean Journal of Mathematics 2 International Journal of Number Theory 2 Online Journal of Analytic Combinatorics 2 International Journal of Biomathematics 2 Advances in Mathematical Physics 2 Science China. Mathematics 2 Palestine Journal of Mathematics 2 Journal of Classical Analysis 2 Computational Methods for Differential Equations 2 International Journal of Applied and Computational Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematics and Computers in Simulation 1 Mathematica Slovaca 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Advances in Applied Mathematics 1 Bulletin of the Iranian Mathematical Society 1 Indagationes Mathematicae. New Series 1 Computational and Applied Mathematics 1 Journal of Mathematical Chemistry 1 Honam Mathematical Journal 1 Matematychni Studiï 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Analysis (München) 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 Integers 1 Applied Mathematics E-Notes 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 JP Journal of Algebra, Number Theory and Applications 1 Journal of Dynamical Systems and Geometric Theories 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Complex Variables and Elliptic Equations 1 Proyecciones 1 Applications and Applied Mathematics 1 Complex Analysis and Operator Theory 1 Applicable Analysis and Discrete Mathematics 1 European Journal of Pure and Applied Mathematics 1 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 1 East Asian Mathematical Journal 1 International Journal of Differential Equations 1 Journal of Pseudo-Differential Operators and Applications 1 Journal of Mathematics and Computer Science. JMCS 1 Journal of Mathematical Extension 1 Arabian Journal of Mathematics 1 Mathematical Sciences 1 Journal of Mathematics 1 Cogent Mathematics 1 Advanced Studies: Euro-Tbilisi Mathematical Journal
all top 5

### Cited in 28 Fields

 241 Number theory (11-XX) 139 Combinatorics (05-XX) 89 Special functions (33-XX) 35 Real functions (26-XX) 21 Ordinary differential equations (34-XX) 20 Numerical analysis (65-XX) 17 Partial differential equations (35-XX) 16 Approximations and expansions (41-XX) 13 Functions of a complex variable (30-XX) 10 Operator theory (47-XX) 9 Integral transforms, operational calculus (44-XX) 8 Difference and functional equations (39-XX) 7 Integral equations (45-XX) 5 Probability theory and stochastic processes (60-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 General topology (54-XX) 3 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Sequences, series, summability (40-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX)

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